Summary: Problem Set 18
Problem 1. a) Let R = k[x, y, z]. Show that every syzygy of the matrix x y
is of the form A
-y
x
where A R.
b) Show that every syzygy of x y z is an R-linear combination of the three
syzygies


-y
x
0

,


-z
0
x

Source: Abo, Hirotachi - Department of Mathematics, University of Idaho

Collections: Mathematics